Answers
9514 1404 393
Answer:
resultant force: 93.946∠-10.62° Nline of action: 17.314x +92.337y = 809.433Step-by-step explanation:
We can use the notation a∠b to represent the (x, y) components (a·cos(b), a·sin(b)), where angle b is measured CCW from the +x direction. If we label the forces a, b, c, d clockwise from A, then we have ...
a = 80∠0° = (80, 0)
b = 60∠90° = (0, 60)
c = 90∠45° = (63.640, 63.640)
d = 150∠-110° = (-51.303, -140.954)
__
If we label point A the origin, then the clockwise torque on point A is the sum of products of the force x-component and its y location, and its y-component and the negative of its x location.
T = (0, 0)·(80, 0) +(3, 0)·(0, 60) +(3, -8)·(63.640, 63.640) +(0, -8)·(-51.303, -140.954)
T = 809.433 . . . . n·m, the CW torque on point A
__
The sum of forces is ...
F = a +b +c +d = (92.337, -17.314) = 93.946∠-10.62° . . . N
__
This force, applied to the point of application, must generate the same torque as the given forces. That is ...
F·(y, -x) = 809.433
Then the equation of the line of action is ...
17.314x +92.337y = 809.433 . . . . . x and y in meters measured from A
Any point (x, y) on this line will serve as a point of application of the force. Unfortunately, this line of action does not pass through the rectangular plate. The attachment shows the point (D) on the line of action that is closest to point A.
_____
Additional comment
The resultant force could be decomposed into two forces acting on the rectangular plate. One could be of much larger magnitude, operating at the corner opposite point A. This force would provide the necessary torque. Another would be acting on point A, providing no torque, but with components such that the resultant has the correct magnitude and direction.
Related Questions
Find each measurement indicated.
Round your answers to the nearest
tenth.
Find XY
Z
107°
11
30°
Y
X
A) 20
C) 21
B) 18
D) 24
Answers
Answer:
D) 24
explanation:
Sana makatulong
The zeros of a quadratic function
are 5 and -9. What would be a
possible function for those
solutions?
Answers
Answer:
(x-5)(x+9) = 0
Step-by-step explanation:
In the equation above, if you plugged in the values given(5, and -9) then you will see that the answer i s0. You basically takes the zeroes you are given, and invert their signs to form the equation.
Find the area of a circle whose diameter is 20 cm. (Use pi = 3.14)
Answers
Answer: 314
let me know if this is wrong
Step-by-step explanation:
A=πr^2
(3.14)(10)^2
(3.14)(100)
314
What is the measure of ∠ZXW in the diagram below?
Answers
Answer:
I tuhnk it's C which is 117
Step-by-step explanation:
I got 117 by 85 degrees adding 32 degrees which I got 117 degrees.
Suppose f(x) = x^2 and g(x) =4x^2. Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
B. The graph of g(x) is the graph of f(x) vertically compressed by a factor of 4.
C. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.
D. The graph of g(x) is the graph of f(x) shifter 4 units left.
Answers
Answer:
B
Step-by-step explanation:
Help asap! 20 points
Consider the graph of f(x) below. The graph contains the points (0, 1) and (5, 4).
Write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, power, or logarithmic.
Answers
Answer:
f(x) = 3/5x + 1
Step-by-step explanation:
Change in y
Change in x
4 - 1
5 - 0
3
5
Jayden has a $100 bill. He bought a game CD for $25.99 and a basketball for $15.69. How much change should Jayden receive?
I know this is easy i just am bad at math :D
Answers
Answer:
$58.32
Step-by-step explanation:
Add 25.99 and 15.69 together and you get 41.68.
then you subtract 41.68 from 100 and get 58.32
1)
Which has the same value as the
expression [12]? No links or it will be reported and explain your answer please.
A -12
B |-12
Answers
Answer:
Option C
Step-by-step explanation:
The absolute value or modulus of a real number x ( denoted by |x| ), is the non-negative value of x without regard to its sign.
Absolute value of 12 = | 12 | = 12
Also , absolute value of -12 = | -12 | = 12
Hence , the correct option is C.
Please help...NO links and whoever answers first get brainliest
Answers
Answer:
The correct answer is H) 184.26 in. ^2
Step-by-step explanation:
Can these three side lengths form a triangle? 20ft, 20ft, 35ft
a. Yes
b. No
Answers
Answer:
A. yes
Step-by-step explanation:
These side lengths can form a triangle because a triangle can have 2 equal sides and an unequal one this triangle is called an isosceles triangle
Terrel lives 2 5/6 blocks away from his best friends house. His school is 4 1/3 blocks away in the same direction. If he stops at his best friends house first how much farther do they have to walk to school.
Answers
Answer:
5/8 of a mile
Step-by-step explanation:
Let the distance from Post Office to Friend's house =D
7/8 + 5/6 + D =miles - Total distance from Georgia's house to a Friend's house.
42 minutes / 18 minutes per mile =2 1/3 miles - total distance from her house to a friend's house. So, we have:
7/8 + 5/6 + D = 2 1/3, solve for D
[21 + 20] / 24 + D = 2 1/3
41/24 + D = 2 1/3 subtract 41/24 from both sides
D =2 1/3 - 41/24
D =7/3 - 41/24
D =[56 -41] / 24
D = 15 / 24
D = 5/8 of a mile - the distance between the School and her Friend's house.
What is the volume of the prism? (4 points)
A rectangular prism with cubic units arranged in five rows of four. Each cubic unit is one cubic inch.
a
10 cubic inches
b
20 cubic inches
c
40 cubic inches
d
80 cubic inches
Answers
Answer:
C
Step-by-step explanation:
40 Cubic Inches - Count all of them and find the sum which is, (40 CUBIC INCHES)
Carly went to walk her dog at 11:45 a.m. and got back home at 12:30 p.m. How long
was her walk
Answers
Answer:
45 minutes
Step-by-step explanation:
Which of the following could be the answer to a statistical question?
А 10
B Yes
C "December 18th"
D 2. 18. 32. and 40"
help I will mark you
Answers
Answer:
the solution would be 10 to the best of my knowledge
What is the perimeter of the quadrilateral ABCD ?
11
B.
А
8
.C
D
O
24
38
O
33
o
35
Answers
Answer:
option d. perimeter of quadrilateral=35
Which equation has a axis of symmetry of x=4 ?
Answers
I think you forgot to add the picture. However, any x = 4 equation will result in a graph with a vertical line on the x-axis. For example x = 20 will be a vertical line on x-axis 20.
Or, in a more difficult equation like this...
10x - 60 = 10
10x = 10 +60
10x = 70
x = 7,
where the graph looks like a vertical line with a point on the x axis on 7.
Simplify.
(4w+ 3) - 2w+ 7
O 2 w+ 10
O 2 w- 10
O 6 w+ 10
6 W-10
Answers
Answer:
A 2w+10
Step-by-step explanation:
4w+3-2w+7
2w + 10
Answer and Step-by-step explanation:
To simplify, we must combine the like terms.
4w - 2w + 3 + 7
Combine 4w and -2w, and 3 and 7.
2w + 10
The correct answer choice is the first one. 2w + 10.
#teamtrees #PAW (Plant And Water)
a store offers a discount of 40 off any one regular-priced item. employees also get 10% off any purchases. in which order should the discounts apply so that the employee pays the least amount?
A. Employee discount then store discount
B. They are both the same
C. Store discount then employee discount
Answers
Let's say the price of an item is $1
Scenario #1 - 40% off $1 = 40 cents OFF
The discounted price = 60 cents
Now the 10% off of 60 cents
60-6 = 54 cents.
Scenario #2 - 10% of $1
The discounted price = 10 cents
100(cents) - 10 = 90 cents
Now the 40% off of 90 cents
90-36 = 54 cents
Let's try another value to confirm
Let's say the price of an item is $2
Scenario #1 - 40% off $2 = 80 cents OFF
200-80= 120 = $1.20
Now the 10% off of $1.20
120-12= 108 = $1.08
Scenario #2 - 10% off $2 = 20 cents OFF
200-20 = 180= 1.80
Now the 40% off of $1.80
180-72 = 108 = 1.08
With these two examples we can confirm either order
will give you the same savings.
Answer:
B. They are both the same
Step-by-step explanation:
Took the quiz
NO LINKS at all pls help
Answers
Answer:
1. 314.16, 2. 452.39, 3. 351.86
Step-by-step explanation:
Trust me I got you
PLZ HELP! SERIOUS ANSWERS GET BRAINLIEST!!!
Answers
√65
Decimal Form:
8.06225774
…
Home Depot is delivering washing machines to buyers. The washing machines are rectangular prisms that measure 5 ft x 5 ft x 6 ft. These machines are then packed into a delivery truck with dimensions of 30 ft x 15 ft x 12½ ft.
What is the volume of the delivery truck? please show work
How many washing machines can be packed into the delivery truck? show work please
Answers
Answer:
37.5
Step-by-step explanation:
Volume of the washing machine = 5 ft x 5 ft x 6 ft
= 150 ft³
Volume of the delivery truck = 30 ft x 15 ft x 12½ ft
= 5,625 ft³
How many washing machines can be packed into the delivery truck?
Number of washing machine in the truck = Volume of the delivery truck / Volume of the washing machine
= 5,625 ft³ / 150 ft³
= 37 1/2
Or
= 37.5
Need help ASAP. How much water can this container hold? Use 3.14 to approximate pi, round your answer to the nearest hundredth
Answers
Answer:
2,134.57 or the bottom one
Step-by-step explanation:
I found the volume
Answer:
its D i did the Iready
Step-by-step explanation:
Classify these sequences as arithmetic, geometric, or neither. Make sure to justify your answer
6) 7, 14, 28, 54
7) 1000, 200, 40, 8
8) 7, 14, 21, 28
thank u !
Answers
[tex] \large \mathfrak{Answer : }[/tex]
The given series are :
6.) 7, 14, 28, 54 - Geometric series
7.) 1000, 200, 40, 8, 5 - Geometric series
8.) 7, 14, 21, 28 - Arithmetic series
Jaleesa bought 2 notebooks for $8.75 each and 1 textbook for $74.95. If the sales tax was 7%, what was the total cost of Jaleesa’s purchases?
Write the answer as a decimal to 2 places.
Answers
Answer:
The total cost of Jaleesa's purchases is: $89.56
Step-by-step explanation:
plz help with these ill post more with more points
Answers
Answer:
I think it is D I'm not sure
Step-by-step explanation:
If two angle and one ️ are congruent to two angles of a second ️ and also if the included sides are congruent, then the ️ are congruent. If in ️ PRQ and TUV, angle P=angle T, angle R=angle and PR=TU, then triangles PRQ is congruent to triangle TUV
Mila owns a small business selling used books. She knows that in the last week 83 customers paid cash, 16 customers used a debit card, and 41 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth
Answers
Answer:
the answer is 0.71
Step-by-step explanation:
it told me
The probability the next customer will pay with something other than a credit card is 0.71.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Number of customers paid cash = 83
Number of customers used a debit card = 16
Number of customers used a credit card = 41
Total number of customers = 140
The probability that the next customer will pay with something other than a credit card is
P(e) = (Number of customers paid cash + Number of customers used a debit card) / Total number of customers.
⇒ [tex]P(e)=\frac{83+16}{140}[/tex]
⇒ [tex]P(e)=\frac{99}{140}[/tex]
⇒ [tex]P(e)=0.7071[/tex] ≈ [tex]0.71[/tex]
Hence we can conclude that the probability the next customer will pay with something other than a credit card is 0.71.
Learn more about probability here
https://brainly.com/question/16813543
#SPJ2
Please help me with this question
Answers
Answer: B
Step-by-step explanation:
b is the only point that is in the double shaded region which means it is a solution to both the inequalities
y=3/4x
5/2x+2y=5
What is the value of X?
Answers
Answer:x = 5/4
Step-by-step explanation: We are given y = 3/4x
and 5/2x +2y = 5
Substituting the value y=3/4 x in second equation we get
5/2x + 2(3/4)x = 5
8/2x = 5
4x = 5
and so , x = 5/4
substituting value of x in y = 3/4x we get,
y = 3/4 (5/4)
So, y = 15/16
which are the required values of x and y on solving the two given equations.
Heather made $209 for 11 hours of work.
At the same rate, how many hours would she have to work to make $171?
Answers
Answer:
9 hours
Step-by-step explanation:
Hi,
11 hours = 209 dollars
Divide 11...
1 hour = 19 dollars
To get from 19 to 171 multiply by 9.
9 hours: 171 dollars.
She has to work 9 hours.
I hope this helps :)
Answer:
9 hours
Step-by-step explanation:
rate: $209/h11 = $19 per 1 hour
How many hours?: 171/19 = 9 hours
PLEASE HELP ( i'll give 10 points and brainiest to whoever gets it right! )
Answers
Answer:
1/48
Step-by-step explanation:
For the left spinner, there are 8 equal slots and one of which is 6. The probabililty of landing on just six would be 1/8.
For the right spinner, there are 6 equal slots and one of which is C. The probability of landing on just C would be 1/6.
Now when we try to get to spin both of them at the same time we need to multiply the probabilities of both:
1/8*1/6=1/48
Hope this helps!
Answer:
Step-by-step explanation:
the probability is 1/48 because
to get a number 6 is a 1/8 percent chance.
the get the letter C is a 1/6 percent chance
you multiply 1/6 and 1/8 to get the probability of 1/48